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13354144452 = 2232111910117573
BaseRepresentation
bin11000110111111100…
…00001001011000100
31021110200011211022200
430123332001023010
5204322130110302
610045041354500
7651633232515
oct143376011304
937420154280
1013354144452
115733080420
122708338a30
13134a87942c
149097d4a0c
155325a881c
hex31bf812c4

13354144452 has 144 divisors (see below), whose sum is σ = 39149248320. Its totient is φ = 3795552000.

The previous prime is 13354144403. The next prime is 13354144469. The reversal of 13354144452 is 25444145331.

13354144452 is a `hidden beast` number, since 1 + 33 + 541 + 44 + 45 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751138 + ... + 768710.

It is an arithmetic number, because the mean of its divisors is an integer number (271869780).

Almost surely, 213354144452 is an apocalyptic number.

13354144452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13354144452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574624160).

13354144452 is an abundant number, since it is smaller than the sum of its proper divisors (25795103868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13354144452 is a wasteful number, since it uses less digits than its factorization.

13354144452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714 (or 17709 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 13354144452 its reverse (25444145331), we get a palindrome (38798289783).

The spelling of 13354144452 in words is "thirteen billion, three hundred fifty-four million, one hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 101 114 132 171 198 202 209 228 303 342 396 404 418 606 627 684 836 909 1111 1212 1254 1818 1881 1919 2222 2508 3333 3636 3762 3838 4444 5757 6666 7524 7676 9999 11514 13332 17271 17573 19998 21109 23028 34542 35146 39996 42218 52719 63327 69084 70292 84436 105438 126654 158157 189981 193303 210876 253308 316314 333887 379962 386606 579909 632628 667774 759924 773212 1001661 1159818 1335548 1739727 1774873 2003322 2319636 3004983 3479454 3549746 3672757 4006644 5324619 6009966 6958908 7099492 7345514 10649238 11018271 12019932 14691028 15973857 19523603 21298476 22036542 31947714 33054813 33722587 39047206 44073084 58570809 63895428 66109626 67445174 78094412 101167761 117141618 132219252 134890348 175712427 202335522 234283236 303503283 351424854 370948457 404671044 607006566 702849708 741896914 1112845371 1214013132 1483793828 2225690742 3338536113 4451381484 6677072226 13354144452